3 problems

Let $p:\mathcal{X}\to\mathbb{D}$ be a family of smooth, $n$-dimensional compact manifolds, and let $X$ be the central fiber. Assume that the total space $\mathcal{X}$ admits a Kähl…

Let $m,d$ be two positive integers. For a projective, possibly disconnected dlt pair $(X,\Delta)$ of dimension $d$ with $m(K_X+\Delta)\sim 0$, let…

Let $m,d$ be two positive integers. For a projective, possibly disconnected dlt pair $(X,\Delta)$ of dimension $d$ with $m(K_X+\Delta)\sim 0$, let…